Finite presentation of a linear-fractional group

被引：1

作者：

Ashiq, M ^{[1
]}

Mushtaq, Q

机构：

[1] Natl Univ Sci & Tech Coll, Coll E & ME, Dept Basic Sci & Human, Rawalpindi 46000, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

来源：

ALGEBRA COLLOQUIUM | 2005年 / 12卷 / 04期

关键词：

coset diagram; modular group; linear-fractional transformations; rational projective line;

D O I：

10.1142/S1005386705000544

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the coset diagram for the action of a linear-fractional group generated by u : z -> z/z-1 andv:z -> z+1/-1 on the rational projective line is transitive and the coset diagram for the action is connected. Using the coset diagram, we show that mu(3) = nu(3) = 1 are defining relations for the group.

引用

页码：585 / 589

页数：5

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